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Finding the Third Proportional to 704,175 and 1,520,601

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Solution

The third proportional to 704,175 and 1,520,601 is: 3,283,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,175 : 1,520,601 = 1,520,601 : x
  2. Step 2: Convert to fraction form
    704,175/1,520,601 = 1,520,601/x
  3. Step 3: Cross multiply
    704,175x = 1,520,601 × 1,520,601
  4. Step 4: Simplify right side
    704,175x = 2,312,227,401,201
  5. Step 5: Solve for x
    x = 2,312,227,401,201/704,175
  6. Step 6: Final answer
    x = 3,283,597.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.